Nonlinear Optimization In Finite Dimensions
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Nonlinear Optimization In Finite Dimensions
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Author : Hubertus Th. Jongen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-11
Nonlinear Optimization In Finite Dimensions written by Hubertus Th. Jongen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Mathematics categories.
At the heart of the topology of global optimization lies Morse Theory: The study of the behaviour of lower level sets of functions as the level varies. Roughly speaking, the topology of lower level sets only may change when passing a level which corresponds to a stationary point (or Karush-Kuhn Tucker point). We study elements of Morse Theory, both in the unconstrained and constrained case. Special attention is paid to the degree of differentiabil ity of the functions under consideration. The reader will become motivated to discuss the possible shapes and forms of functions that may possibly arise within a given problem framework. In a separate chapter we show how certain ideas may be carried over to nonsmooth items, such as problems of Chebyshev approximation type. We made this choice in order to show that a good under standing of regular smooth problems may lead to a straightforward treatment of "just" continuous problems by means of suitable perturbation techniques, taking a priori nonsmoothness into account. Moreover, we make a focal point analysis in order to emphasize the difference between inner product norms and, for example, the maximum norm. Then, specific tools from algebraic topol ogy, in particular homology theory, are treated in some detail. However, this development is carried out only as far as it is needed to understand the relation between critical points of a function on a manifold with structured boundary. Then, we pay attention to three important subjects in nonlinear optimization.
Nonlinear Optimization In Finite Dimensional Spaces
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Author : Ulrich Hornung
language : de
Publisher:
Release Date : 1986
Nonlinear Optimization In Finite Dimensional Spaces written by Ulrich Hornung and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Introduction To The Theory Of Nonlinear Optimization
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Author : Johannes Jahn
language : en
Publisher: Springer Nature
Release Date : 2020-07-02
Introduction To The Theory Of Nonlinear Optimization written by Johannes Jahn and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-02 with Business & Economics categories.
This book serves as an introductory text to optimization theory in normed spaces and covers all areas of nonlinear optimization. It presents fundamentals with particular emphasis on the application to problems in the calculus of variations, approximation and optimal control theory. The reader is expected to have a basic knowledge of linear functional analysis.
Foundations Of Optimization
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Author : Osman Güler
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-03
Foundations Of Optimization written by Osman Güler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-03 with Business & Economics categories.
This book covers the fundamental principles of optimization in finite dimensions. It develops the necessary material in multivariable calculus both with coordinates and coordinate-free, so recent developments such as semidefinite programming can be dealt with.
Mathematics Of Optimization Smooth And Nonsmooth Case
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Author : Giorgio Giorgi
language : en
Publisher: Elsevier
Release Date : 2004-03-10
Mathematics Of Optimization Smooth And Nonsmooth Case written by Giorgio Giorgi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-10 with Mathematics categories.
The book is intended for people (graduates, researchers, but also undergraduates with a good mathematical background) involved in the study of (static) optimization problems (in finite-dimensional spaces). It contains a lot of material, from basic tools of convex analysis to optimality conditions for smooth optimization problems, for non smooth optimization problems and for vector optimization problems.The development of the subjects are self-contained and the bibliographical references are usually treated in different books (only a few books on optimization theory deal also with vector problems), so the book can be a starting point for further readings in a more specialized literature.Assuming only a good (even if not advanced) knowledge of mathematical analysis and linear algebra, this book presents various aspects of the mathematical theory in optimization problems. The treatment is performed in finite-dimensional spaces and with no regard to algorithmic questions. After two chapters concerning, respectively, introductory subjects and basic tools and concepts of convex analysis, the book treats extensively mathematical programming problems in the smmoth case, in the nonsmooth case and finally vector optimization problems. · Self-contained· Clear style and results are either proved or stated precisely with adequate references· The authors have several years experience in this field· Several subjects (some of them non usual in books of this kind) in one single book, including nonsmooth optimization and vector optimization problems· Useful long references list at the end of each chapter
Optimization Theory
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Author : Jiongmin Yong
language : en
Publisher: World Scientific Publishing Company
Release Date : 2018-05-16
Optimization Theory written by Jiongmin Yong and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-16 with Mathematics categories.
Foundations Of Optimization
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Author : M. S. Bazaraa
language : en
Publisher:
Release Date : 1976
Foundations Of Optimization written by M. S. Bazaraa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Duality theory (Mathematics) categories.
Foundations Of Optimization
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Author : Osman Güler
language : en
Publisher: Springer
Release Date : 2010-11-01
Foundations Of Optimization written by Osman Güler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-01 with Business & Economics categories.
This book covers the fundamental principles of optimization in finite dimensions. It develops the necessary material in multivariable calculus both with coordinates and coordinate-free, so recent developments such as semidefinite programming can be dealt with.
Control And Optimization
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Author : J. E. Rubio
language : en
Publisher: Manchester University Press
Release Date : 1986
Control And Optimization written by J. E. Rubio and has been published by Manchester University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Control theory categories.
Very Good,No Highlights or Markup,all pages are intact.
Optimization Of Nonlinear Functionals In Finite Dimensional Spaces
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Author : Frank Thomas Ayers
language : en
Publisher:
Release Date : 1970
Optimization Of Nonlinear Functionals In Finite Dimensional Spaces written by Frank Thomas Ayers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Nonlinear programming categories.